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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2017, Volume 2, Issue 1, Pages 66–79 (Mi chfmj46)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

Biorthogonal wavelet code in fields of characteristic two

A. A. Soloviev, D. V. Chernikov

Chelyabinsk State University, Chelyabinsk, Russia
Full-text PDF (663 kB) Citations (5)
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Abstract: In this paper we propose a scheme for the constructing of error-correcting cyclic wavelet codes on the basis of the biorthogonal transformation over finite fields of the even characteristic. The method of such codes constructing uses the Euclidean algorithm of the polynomials greatest common divisor calculating. It simplifies the possibility of the constructing of wavelet codes with specified properties. It is proved that there are wavelet codes with a given code distance.
Keywords: polyphasic scheme, biorthogonal transform, wavelet code, finite field.
Received: 16.02.2017
Revised: 22.03.2017
Bibliographic databases:
Document Type: Article
UDC: 519.725
Language: Russian
Citation: A. A. Soloviev, D. V. Chernikov, “Biorthogonal wavelet code in fields of characteristic two”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 66–79
Citation in format AMSBIB
\Bibitem{SolChe17}
\by A.~A.~Soloviev, D.~V.~Chernikov
\paper Biorthogonal wavelet code in fields of characteristic two
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2017
\vol 2
\issue 1
\pages 66--79
\mathnet{http://mi.mathnet.ru/chfmj46}
\elib{https://elibrary.ru/item.asp?id=29078328}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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